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Entanglement bounds in the XXZ quantum spin chain

Mathematical Physics and Probability Seminar

Entanglement bounds in the XXZ quantum spin chain
Series: Mathematical Physics and Probability Seminar
Location: MATH 402
Presenter: Houssam Abdul-Rahman, University of Arizona

We consider the attractive XXZ spin chain in the Ising phase. The energies of the systems are characterized by certain cluster break-up thresholds for down-spin configurations. We show that the bipartite entanglement of all states associated with a fixed number of clusters  satisfies a logarithmically corrected (or enhanced) area law. This generalizes a result by Beaud/Warzel, who considered energies in the droplet spectrum (i.e., the 1-cluster regime). (Based on a joint work with: C. Fischbacher and G. Stolz)